5x^2+10x-21=14-8x

Simple and best practice solution for 5x^2+10x-21=14-8x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 5x^2+10x-21=14-8x equation: 


Simplifying
5x2 + 10x + -21 = 14 + -8x

Reorder the terms:
-21 + 10x + 5x2 = 14 + -8x

Solving
-21 + 10x + 5x2 = 14 + -8x

Solving for variable 'x'.

Reorder the terms:
-21 + -14 + 10x + 8x + 5x2 = 14 + -8x + -14 + 8x

Combine like terms: -21 + -14 = -35
-35 + 10x + 8x + 5x2 = 14 + -8x + -14 + 8x

Combine like terms: 10x + 8x = 18x
-35 + 18x + 5x2 = 14 + -8x + -14 + 8x

Reorder the terms:
-35 + 18x + 5x2 = 14 + -14 + -8x + 8x

Combine like terms: 14 + -14 = 0
-35 + 18x + 5x2 = 0 + -8x + 8x
-35 + 18x + 5x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
-35 + 18x + 5x2 = 0

Factor a trinomial.
(-5 + -1x)(7 + -5x) = 0


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {-5, 1.4}

See similar equations:

| 10x+18=78+7x | | w+1.8=7.22 | | 6x-21=18 | | x^2+81-18x= | | 48-4x=24 | | 50-3x=38 | | 25x^2-65x+36=0 | | 8(4x+6)=31x+19 | | 8(4x+6)=31x | | 16x-9=13-8x | | 2x+7+3x=3x+19+x | | 7x+2n=98 | | y=4(5+.5y)-2 | | 2(x+2)+3=27-3x | | 0.2x^3-16x^2=50 | | (5c/6)-(c/6)= | | 6/100 | | 5c/6-c/6= | | y=3x^2(lnx)+4 | | a^2+19a-1= | | 0.97x+0.08685y+0.063z=.095(100) | | 1x+1d+2x+22=33x | | 3.333333333333333333333333333333333333333333333333333333333333333333x+3.3333333333333333333333333333333333333333333333333333333333333333333=9 | | -5+12=3x-20 | | -3+6=3x-6 | | -7x-10=3x+20 | | 7/4a-6/5a | | 3/4(x8)=12 | | x^2-3y=7 | | 3x-5=15-7x | | dy/dx=y^2-y^3 | | 12x+30y=25 |

Equations solver categories